1183116481600 has 84 divisors (see below), whose sum is σ = 2915957522404. Its totient is φ = 472474183680.

The previous prime is 1183116481549. The next prime is 1183116481619. The reversal of 1183116481600 is 61846113811.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 492276237376 + 690840244224 = 701624^2 + 831168^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377662 + ... + 1583938.

Almost surely, 2^{1183116481600} is an apocalyptic number.

1183116481600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1183116481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457978761202).

1183116481600 is an abundant number, since it is smaller than the sum of its proper divisors (1732841040804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1183116481600 is a wasteful number, since it uses less digits than its factorization.

1183116481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206912 (or 1206897 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 1183116481600 in words is "one trillion, one hundred eighty-three billion, one hundred sixteen million, four hundred eighty-one thousand, six hundred".